// Boost.Geometry - gis-projections (based on PROJ4)
// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
// This file was modified by Oracle on 2017, 2018, 2019.
// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
// Use, modification and distribution is subject to the Boost Software License,
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
// This file is converted from PROJ4, http://trac.osgeo.org/proj
// PROJ4 is originally written by Gerald Evenden (then of the USGS)
// PROJ4 is maintained by Frank Warmerdam
// PROJ4 is converted to Boost.Geometry by Barend Gehrels
// Last updated version of proj: 5.0.0
// Original copyright notice:
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
#ifndef BOOST_GEOMETRY_PROJECTIONS_ORTHO_HPP
#define BOOST_GEOMETRY_PROJECTIONS_ORTHO_HPP
#include <boost/config.hpp>
#include <boost/geometry/util/math.hpp>
#include <boost/math/special_functions/hypot.hpp>
#include <boost/geometry/srs/projections/impl/base_static.hpp>
#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
#include <boost/geometry/srs/projections/impl/projects.hpp>
#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace ortho
{
enum mode_type {
n_pole = 0,
s_pole = 1,
equit = 2,
obliq = 3
};
template <typename T>
struct par_ortho
{
T sinph0;
T cosph0;
mode_type mode;
};
static const double epsilon10 = 1.e-10;
template <typename T, typename Parameters>
struct base_ortho_spheroid
{
par_ortho<T> m_proj_parm;
// FORWARD(s_forward) spheroid
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
static const T half_pi = detail::half_pi<T>();
T coslam, cosphi, sinphi;
cosphi = cos(lp_lat);
coslam = cos(lp_lon);
switch (this->m_proj_parm.mode) {
case equit:
if (cosphi * coslam < - epsilon10) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
xy_y = sin(lp_lat);
break;
case obliq:
if (this->m_proj_parm.sinph0 * (sinphi = sin(lp_lat)) +
this->m_proj_parm.cosph0 * cosphi * coslam < - epsilon10) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
xy_y = this->m_proj_parm.cosph0 * sinphi - this->m_proj_parm.sinph0 * cosphi * coslam;
break;
case n_pole:
coslam = - coslam;
BOOST_FALLTHROUGH;
case s_pole:
if (fabs(lp_lat - par.phi0) - epsilon10 > half_pi) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
xy_y = cosphi * coslam;
break;
}
xy_x = cosphi * sin(lp_lon);
}
// INVERSE(s_inverse) spheroid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
{
static const T half_pi = detail::half_pi<T>();
T rh, cosc, sinc;
if ((sinc = (rh = boost::math::hypot(xy_x, xy_y))) > 1.) {
if ((sinc - 1.) > epsilon10) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
sinc = 1.;
}
cosc = sqrt(1. - sinc * sinc); /* in this range OK */
if (fabs(rh) <= epsilon10) {
lp_lat = par.phi0;
lp_lon = 0.0;
} else {
switch (this->m_proj_parm.mode) {
case n_pole:
xy_y = -xy_y;
lp_lat = acos(sinc);
break;
case s_pole:
lp_lat = - acos(sinc);
break;
case equit:
lp_lat = xy_y * sinc / rh;
xy_x *= sinc;
xy_y = cosc * rh;
goto sinchk;
case obliq:
lp_lat = cosc * this->m_proj_parm.sinph0 + xy_y * sinc * this->m_proj_parm.cosph0 /rh;
xy_y = (cosc - this->m_proj_parm.sinph0 * lp_lat) * rh;
xy_x *= sinc * this->m_proj_parm.cosph0;
sinchk:
if (fabs(lp_lat) >= 1.)
lp_lat = lp_lat < 0. ? -half_pi : half_pi;
else
lp_lat = asin(lp_lat);
break;
}
lp_lon = (xy_y == 0. && (this->m_proj_parm.mode == obliq || this->m_proj_parm.mode == equit))
? (xy_x == 0. ? 0. : xy_x < 0. ? -half_pi : half_pi)
: atan2(xy_x, xy_y);
}
}
static inline std::string get_name()
{
return "ortho_spheroid";
}
};
// Orthographic
template <typename Parameters, typename T>
inline void setup_ortho(Parameters& par, par_ortho<T>& proj_parm)
{
if (fabs(fabs(par.phi0) - geometry::math::half_pi<T>()) <= epsilon10)
proj_parm.mode = par.phi0 < 0. ? s_pole : n_pole;
else if (fabs(par.phi0) > epsilon10) {
proj_parm.mode = obliq;
proj_parm.sinph0 = sin(par.phi0);
proj_parm.cosph0 = cos(par.phi0);
} else
proj_parm.mode = equit;
par.es = 0.;
}
}} // namespace detail::ortho
#endif // doxygen
/*!
\brief Orthographic projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Azimuthal
- Spheroid
\par Example
\image html ex_ortho.gif
*/
template <typename T, typename Parameters>
struct ortho_spheroid : public detail::ortho::base_ortho_spheroid<T, Parameters>
{
template <typename Params>
inline ortho_spheroid(Params const& , Parameters & par)
{
detail::ortho::setup_ortho(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_ortho, ortho_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(ortho_entry, ortho_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(ortho_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ortho, ortho_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_ORTHO_HPP